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Finding the Fourth Proportional to 2,186.91, 3,266.88 and 1,967.19

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Solution

The fourth proportional to 2,186.91, 3,266.88 and 1,967.19 is: 2,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.91 : 3,266.88 = 1,967.19 : x
  2. Step 2: Convert to fraction form
    2,186.91/3,266.88 = 1,967.19/x
  3. Step 3: Cross multiply
    2,186.91x = 3,266.88 × 1,967.19
  4. Step 4: Simplify right side
    2,186.91x = 6,426,573.67
  5. Step 5: Solve for x
    x = 6,426,573.67/2,186.91
  6. Step 6: Final answer
    x = 2,938.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.